%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO228^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:47:14 AM UTC 2026
% Result : Theorem 0.21s 0.31s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO228^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n001.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 16:46:06 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.08/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.31 % (1482706)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.31 % (1482711)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2220393890:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.31 % (1482717)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.21/0.31 % (1482717)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.21/0.31 % (1482712)lrs+10_16_si=on:nwc=1.5:random_seed=3358530092:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.21/0.31 % (1482713)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=397622900:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.21/0.31 % (1482714)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=3252024385:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.21/0.31 % (1482715)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3266587396:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.21/0.31 % (1482716)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2537150214:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.21/0.31 % (1482717)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=697448853:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.21/0.31 % (1482713)Instruction limit reached!
% 0.21/0.31 % (1482713)------------------------------
% 0.21/0.31 % (1482713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.31 % (1482713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.31 % (1482713)CaDiCaL version: 2.1.3
% 0.21/0.31 % (1482713)Termination reason: Instruction limit
% 0.21/0.31 % (1482713)Termination phase: Property scanning
% 0.21/0.31 % (1482713)Time elapsed: 0.001 s
% 0.21/0.31 % (1482713)Peak memory usage: 10 MB
% 0.21/0.31 % (1482713)Instructions burned: 3 (million)
% 0.21/0.31 % (1482712)Instruction limit reached!
% 0.21/0.31 % (1482712)------------------------------
% 0.21/0.31 % (1482712)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.31 % (1482712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.31 % (1482712)CaDiCaL version: 2.1.3
% 0.21/0.31 % (1482712)Termination reason: Instruction limit
% 0.21/0.31 % (1482712)Termination phase: Saturation
% 0.21/0.31 % (1482712)Time elapsed: 0.010 s
% 0.21/0.31 % (1482712)Peak memory usage: 12 MB
% 0.21/0.31 % (1482712)Instructions burned: 19 (million)
% 0.21/0.31 % (1482715)Instruction limit reached!
% 0.21/0.31 % (1482715)------------------------------
% 0.21/0.31 % (1482715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.31 % (1482715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.31 % (1482715)CaDiCaL version: 2.1.3
% 0.21/0.31 % (1482715)Termination reason: Instruction limit
% 0.21/0.31 % (1482715)Termination phase: Saturation
% 0.21/0.31 % (1482715)Time elapsed: 0.013 s
% 0.21/0.31 % (1482715)Peak memory usage: 12 MB
% 0.21/0.31 % (1482715)Instructions burned: 24 (million)
% 0.21/0.31 % (1482711)Instruction limit reached!
% 0.21/0.31 % (1482711)------------------------------
% 0.21/0.31 % (1482711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.31 % (1482711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.31 % (1482711)CaDiCaL version: 2.1.3
% 0.21/0.31 % (1482711)Termination reason: Instruction limit
% 0.21/0.31 % (1482711)Termination phase: Saturation
% 0.21/0.31 % (1482711)Time elapsed: 0.023 s
% 0.21/0.31 % (1482711)Peak memory usage: 13 MB
% 0.21/0.31 % (1482711)Instructions burned: 91 (million)
% 0.21/0.31 % (1482725)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2339581354:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.21/0.31 % (1482714) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1482706-1482714"...
% 0.21/0.31 % (1482725)Instruction limit reached!
% 0.21/0.31 % (1482725)------------------------------
% 0.21/0.31 % (1482725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.31 % (1482725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.31 % (1482725)CaDiCaL version: 2.1.3
% 0.21/0.31 % (1482725)Termination reason: Instruction limit
% 0.21/0.31 % (1482725)Termination phase: Property scanning
% 0.21/0.31 % (1482725)Time elapsed: 0.002 s
% 0.21/0.31 % (1482725)Peak memory usage: 10 MB
% 0.21/0.31 % (1482725)Instructions burned: 4 (million)
% 0.21/0.31 % (1482728)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3800991227:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.21/0.31 % (1482714)...printing done.
% 0.21/0.31 % (1482714)Refutation found. Thanks to Tanya!
% 0.21/0.31 % SZS status Theorem for theBenchmark
% 0.21/0.31 % SZS output start Proof for theBenchmark
% 0.21/0.31 thf(type_def_5, type, g: $tType).
% 0.21/0.31 thf(type_def_6, type, b: $tType).
% 0.21/0.31 thf(type_def_7, type, a: $tType).
% 0.21/0.31 thf(type_def_8, type, sTfun: ($tType * $tType) > $tType).
% 0.21/0.31 thf(func_def_3, type, sP0: ((a > a > a) > (b > a) > (g > b) > (g > g > g) > (g > $o) > $o)).
% 0.21/0.31 thf(func_def_4, type, sP1: ((a > a > a) > (a > $o) > $o)).
% 0.21/0.31 thf(func_def_5, type, sK2: ((a > a > a) > (a > $o) > a)).
% 0.21/0.31 thf(func_def_6, type, sK3: ((a > a > a) > (a > $o) > a)).
% 0.21/0.31 thf(func_def_7, type, sK4: ((a > a > a) > (b > a) > (g > b) > (g > g > g) > (g > $o) > g)).
% 0.21/0.31 thf(func_def_8, type, sK5: ((a > a > a) > (b > a) > (g > b) > (g > g > g) > (g > $o) > g)).
% 0.21/0.31 thf(func_def_9, type, sK6: (b > b > b)).
% 0.21/0.31 thf(func_def_10, type, sK7: (b > a)).
% 0.21/0.31 thf(func_def_11, type, sK8: (a > $o)).
% 0.21/0.31 thf(func_def_12, type, sK9: (b > $o)).
% 0.21/0.31 thf(func_def_13, type, sK10: (g > $o)).
% 0.21/0.31 thf(func_def_14, type, sK11: (g > b)).
% 0.21/0.31 thf(func_def_15, type, sK12: (g > g > g)).
% 0.21/0.31 thf(func_def_16, type, sK13: (a > a > a)).
% 0.21/0.31 thf(func_def_17, type, sK14: g).
% 0.21/0.31 thf(func_def_18, type, sK15: g).
% 0.21/0.31 thf(func_def_19, type, sK16: g).
% 0.21/0.31 thf(func_def_20, type, vNOT: ($o > $o)).
% 0.21/0.31 thf(func_def_22, type, db0: !>[X0: $tType]:(X0)).
% 0.21/0.31 thf(func_def_23, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.21/0.31 thf(f1,conjecture,(
% 0.21/0.31 ! [X7 : (a > a > a),X2 : (g > $o),X4 : (b > $o),X0 : (g > b),X1 : (b > a),X3 : (g > g > g),X6 : (a > $o),X5 : (b > b > b)] : ((! [X8 : b,X9 : b] : (((X4 @ X8) & (X4 @ X9)) => (((X1 @ (X5 @ X8 @ X9))) = ((X7 @ (X1 @ X8) @ (X1 @ X9))))) & ! [X8 : g] : ((X2 @ X8) => (X4 @ (X0 @ X8))) & ! [X9 : b,X8 : b] : (((X4 @ X8) & (X4 @ X9)) => (X4 @ (X5 @ X8 @ X9))) & ! [X8 : g,X9 : g] : (((X2 @ X8) & (X2 @ X9)) => (((X0 @ (X3 @ X8 @ X9))) = ((X5 @ (X0 @ X8) @ (X0 @ X9))))) & ! [X8 : b,X9 : b] : (((X4 @ X9) & (X4 @ X8)) => (X4 @ (X5 @ X8 @ X9))) & ! [X9 : a,X8 : a] : (((X6 @ X9) & (X6 @ X8)) => (X6 @ (X7 @ X8 @ X9))) & ! [X8 : b] : ((X4 @ X8) => (X6 @ (X1 @ X8))) & ! [X8 : g,X9 : g] : (((X2 @ X9) & (X2 @ X8)) => (X2 @ (X3 @ X8 @ X9)))) => (! [X9 : g,X8 : g] : (((X2 @ X9) & (X2 @ X9) & (X2 @ X8) & (X2 @ X8)) => (((X1 @ (X0 @ (X3 @ X8 @ X9)))) = ((X7 @ (X1 @ (X0 @ X8)) @ (X1 @ (X0 @ X9)))))) & ! [X8 : g] : ((X2 @ X8) => (X6 @ (X1 @ (X0 @ X8)))) & ! [X8 : a,X9 : a] : (((X6 @ X8) & (X6 @ X9)) => (X6 @ (X7 @ X8 @ X9))) & ! [X8 : g,X9 : g] : (((X2 @ X9) & (X2 @ X8)) => (X2 @ (X3 @ X8 @ X9)))))),
% 0.21/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM126_EXPANDED_pme)).
% 0.21/0.31 thf(f2,negated_conjecture,(
% 0.21/0.31 ~ ! [X7 : (a > a > a),X2 : (g > $o),X4 : (b > $o),X0 : (g > b),X1 : (b > a),X3 : (g > g > g),X6 : (a > $o),X5 : (b > b > b)] : ((! [X8 : b,X9 : b] : (((X4 @ X8) & (X4 @ X9)) => (((X1 @ (X5 @ X8 @ X9))) = ((X7 @ (X1 @ X8) @ (X1 @ X9))))) & ! [X8 : g] : ((X2 @ X8) => (X4 @ (X0 @ X8))) & ! [X9 : b,X8 : b] : (((X4 @ X8) & (X4 @ X9)) => (X4 @ (X5 @ X8 @ X9))) & ! [X8 : g,X9 : g] : (((X2 @ X8) & (X2 @ X9)) => (((X0 @ (X3 @ X8 @ X9))) = ((X5 @ (X0 @ X8) @ (X0 @ X9))))) & ! [X8 : b,X9 : b] : (((X4 @ X9) & (X4 @ X8)) => (X4 @ (X5 @ X8 @ X9))) & ! [X9 : a,X8 : a] : (((X6 @ X9) & (X6 @ X8)) => (X6 @ (X7 @ X8 @ X9))) & ! [X8 : b] : ((X4 @ X8) => (X6 @ (X1 @ X8))) & ! [X8 : g,X9 : g] : (((X2 @ X9) & (X2 @ X8)) => (X2 @ (X3 @ X8 @ X9)))) => (! [X9 : g,X8 : g] : (((X2 @ X9) & (X2 @ X9) & (X2 @ X8) & (X2 @ X8)) => (((X1 @ (X0 @ (X3 @ X8 @ X9)))) = ((X7 @ (X1 @ (X0 @ X8)) @ (X1 @ (X0 @ X9)))))) & ! [X8 : g] : ((X2 @ X8) => (X6 @ (X1 @ (X0 @ X8)))) & ! [X8 : a,X9 : a] : (((X6 @ X8) & (X6 @ X9)) => (X6 @ (X7 @ X8 @ X9))) & ! [X8 : g,X9 : g] : (((X2 @ X9) & (X2 @ X8)) => (X2 @ (X3 @ X8 @ X9)))))),
% 0.21/0.31 inference(negated_conjecture,[status(cth)],[f1])).
% 0.21/0.31 thf(f3,plain,(
% 0.21/0.31 ~ ! [X0 : (a > a > a),X1 : (g > $o),X2 : (b > $o),X3 : (g > b),X4 : (b > a),X5 : (g > g > g),X6 : (a > $o),X7 : (b > b > b)] : ((! [X8 : b,X9 : b] : (((X2 @ X8) & (X2 @ X9)) => (((X0 @ (X4 @ X8) @ (X4 @ X9))) = ((X4 @ (X7 @ X8 @ X9))))) & ! [X10 : g] : ((X1 @ X10) => (X2 @ (X3 @ X10))) & ! [X11 : b,X12 : b] : (((X2 @ X12) & (X2 @ X11)) => (X2 @ (X7 @ X12 @ X11))) & ! [X13 : g,X14 : g] : (((X1 @ X13) & (X1 @ X14)) => (((X7 @ (X3 @ X13) @ (X3 @ X14))) = ((X3 @ (X5 @ X13 @ X14))))) & ! [X15 : b,X16 : b] : (((X2 @ X16) & (X2 @ X15)) => (X2 @ (X7 @ X15 @ X16))) & ! [X17 : a,X18 : a] : (((X6 @ X17) & (X6 @ X18)) => (X6 @ (X0 @ X18 @ X17))) & ! [X19 : b] : ((X2 @ X19) => (X6 @ (X4 @ X19))) & ! [X20 : g,X21 : g] : (((X1 @ X21) & (X1 @ X20)) => (X1 @ (X5 @ X20 @ X21)))) => (! [X22 : g,X23 : g] : (((X1 @ X22) & (X1 @ X22) & (X1 @ X23) & (X1 @ X23)) => (((X0 @ (X4 @ (X3 @ X23)) @ (X4 @ (X3 @ X22)))) = ((X4 @ (X3 @ (X5 @ X23 @ X22)))))) & ! [X24 : g] : ((X1 @ X24) => (X6 @ (X4 @ (X3 @ X24)))) & ! [X25 : a,X26 : a] : (((X6 @ X25) & (X6 @ X26)) => (X6 @ (X0 @ X25 @ X26))) & ! [X27 : g,X28 : g] : (((X1 @ X28) & (X1 @ X27)) => (X1 @ (X5 @ X27 @ X28)))))),
% 0.21/0.31 inference(rectify,[],[f2])).
% 0.21/0.31 thf(f4,plain,(
% 0.21/0.31 ~ ! [X4 : (b > a),X5 : (g > g > g),X3 : (g > b),X0 : (a > a > a),X7 : (b > b > b),X1 : (g > $o),X6 : (a > $o),X2 : (b > $o)] : ((! [X21 : g,X20 : g] : (((((X1 @ X20)) = $true) & (((X1 @ X21)) = $true)) => (((X1 @ (X5 @ X20 @ X21))) = $true)) & ! [X11 : b,X12 : b] : (((((X2 @ X12)) = $true) & (((X2 @ X11)) = $true)) => (((X2 @ (X7 @ X12 @ X11))) = $true)) & ! [X10 : g] : ((((X1 @ X10)) = $true) => (((X2 @ (X3 @ X10))) = $true)) & ! [X13 : g,X14 : g] : (((((X1 @ X14)) = $true) & (((X1 @ X13)) = $true)) => (((X7 @ (X3 @ X13) @ (X3 @ X14))) = ((X3 @ (X5 @ X13 @ X14))))) & ! [X15 : b,X16 : b] : (((((X2 @ X15)) = $true) & (((X2 @ X16)) = $true)) => (((X2 @ (X7 @ X15 @ X16))) = $true)) & ! [X19 : b] : ((((X2 @ X19)) = $true) => ($true = ((X6 @ (X4 @ X19))))) & ! [X18 : a,X17 : a] : (((((X6 @ X18)) = $true) & ($true = ((X6 @ X17)))) => (((X6 @ (X0 @ X18 @ X17))) = $true)) & ! [X9 : b,X8 : b] : (((((X2 @ X8)) = $true) & ($true = ((X2 @ X9)))) => (((X0 @ (X4 @ X8) @ (X4 @ X9))) = ((X4 @ (X7 @ X8 @ X9)))))) => (! [X26 : a,X25 : a] : (((((X6 @ X25)) = $true) & (((X6 @ X26)) = $true)) => (((X6 @ (X0 @ X25 @ X26))) = $true)) & ! [X22 : g,X23 : g] : (((((X1 @ X23)) = $true) & (((X1 @ X22)) = $true) & (((X1 @ X22)) = $true) & (((X1 @ X23)) = $true)) => (((X0 @ (X4 @ (X3 @ X23)) @ (X4 @ (X3 @ X22)))) = ((X4 @ (X3 @ (X5 @ X23 @ X22)))))) & ! [X24 : g] : ((((X1 @ X24)) = $true) => (((X6 @ (X4 @ (X3 @ X24)))) = $true)) & ! [X28 : g,X27 : g] : (((((X1 @ X28)) = $true) & (((X1 @ X27)) = $true)) => ($true = ((X1 @ (X5 @ X27 @ X28)))))))),
% 0.21/0.31 inference(fool_elimination,[],[f3])).
% 0.21/0.31 thf(f5,plain,(
% 0.21/0.31 ? [X4 : (b > a),X5 : (g > g > g),X3 : (g > b),X0 : (a > a > a),X7 : (b > b > b),X1 : (g > $o),X6 : (a > $o),X2 : (b > $o)] : ((? [X26 : a,X25 : a] : ((((X6 @ (X0 @ X25 @ X26))) != $true) & ((((X6 @ X25)) = $true) & (((X6 @ X26)) = $true))) | ? [X22 : g,X23 : g] : ((((X0 @ (X4 @ (X3 @ X23)) @ (X4 @ (X3 @ X22)))) != ((X4 @ (X3 @ (X5 @ X23 @ X22))))) & ((((X1 @ X23)) = $true) & (((X1 @ X22)) = $true) & (((X1 @ X22)) = $true) & (((X1 @ X23)) = $true))) | ? [X24 : g] : ((((X1 @ X24)) = $true) & (((X6 @ (X4 @ (X3 @ X24)))) != $true)) | ? [X28 : g,X27 : g] : (($true != ((X1 @ (X5 @ X27 @ X28)))) & ((((X1 @ X28)) = $true) & (((X1 @ X27)) = $true)))) & (! [X21 : g,X20 : g] : ((((X1 @ (X5 @ X20 @ X21))) = $true) | ((((X1 @ X20)) != $true) | (((X1 @ X21)) != $true))) & ! [X11 : b,X12 : b] : ((((X2 @ (X7 @ X12 @ X11))) = $true) | ((((X2 @ X12)) != $true) | (((X2 @ X11)) != $true))) & ! [X10 : g] : ((((X2 @ (X3 @ X10))) = $true) | (((X1 @ X10)) != $true)) & ! [X13 : g,X14 : g] : ((((X7 @ (X3 @ X13) @ (X3 @ X14))) = ((X3 @ (X5 @ X13 @ X14)))) | ((((X1 @ X14)) != $true) | (((X1 @ X13)) != $true))) & ! [X15 : b,X16 : b] : ((((X2 @ (X7 @ X15 @ X16))) = $true) | ((((X2 @ X15)) != $true) | (((X2 @ X16)) != $true))) & ! [X19 : b] : ((((X2 @ X19)) != $true) | ($true = ((X6 @ (X4 @ X19))))) & ! [X18 : a,X17 : a] : ((((X6 @ (X0 @ X18 @ X17))) = $true) | ((((X6 @ X18)) != $true) | ($true != ((X6 @ X17))))) & ! [X9 : b,X8 : b] : ((((X0 @ (X4 @ X8) @ (X4 @ X9))) = ((X4 @ (X7 @ X8 @ X9)))) | ((((X2 @ X8)) != $true) | ($true != ((X2 @ X9)))))))),
% 0.21/0.31 inference(ennf_transformation,[],[f4])).
% 0.21/0.31 thf(f6,plain,(
% 0.21/0.31 ? [X7 : (b > b > b),X4 : (b > a),X6 : (a > $o),X2 : (b > $o),X1 : (g > $o),X3 : (g > b),X5 : (g > g > g),X0 : (a > a > a)] : (! [X19 : b] : ((((X2 @ X19)) != $true) | ($true = ((X6 @ (X4 @ X19))))) & ! [X20 : g,X21 : g] : ((((X1 @ X21)) != $true) | (((X1 @ (X5 @ X20 @ X21))) = $true) | (((X1 @ X20)) != $true)) & ! [X13 : g,X14 : g] : ((((X1 @ X14)) != $true) | (((X7 @ (X3 @ X13) @ (X3 @ X14))) = ((X3 @ (X5 @ X13 @ X14)))) | (((X1 @ X13)) != $true)) & ! [X17 : a,X18 : a] : ((((X6 @ X18)) != $true) | ($true != ((X6 @ X17))) | (((X6 @ (X0 @ X18 @ X17))) = $true)) & (? [X27 : g,X28 : g] : ((((X1 @ X27)) = $true) & ($true != ((X1 @ (X5 @ X27 @ X28)))) & (((X1 @ X28)) = $true)) | ? [X24 : g] : ((((X1 @ X24)) = $true) & (((X6 @ (X4 @ (X3 @ X24)))) != $true)) | ? [X25 : a,X26 : a] : ((((X6 @ X26)) = $true) & (((X6 @ (X0 @ X25 @ X26))) != $true) & (((X6 @ X25)) = $true)) | ? [X23 : g,X22 : g] : ((((X1 @ X23)) = $true) & (((X1 @ X22)) = $true) & (((X1 @ X22)) = $true) & (((X0 @ (X4 @ (X3 @ X23)) @ (X4 @ (X3 @ X22)))) != ((X4 @ (X3 @ (X5 @ X23 @ X22))))) & (((X1 @ X23)) = $true))) & ! [X15 : b,X16 : b] : ((((X2 @ (X7 @ X15 @ X16))) = $true) | (((X2 @ X15)) != $true) | (((X2 @ X16)) != $true)) & ! [X10 : g] : ((((X2 @ (X3 @ X10))) = $true) | (((X1 @ X10)) != $true)) & ! [X9 : b,X8 : b] : ((((X0 @ (X4 @ X8) @ (X4 @ X9))) = ((X4 @ (X7 @ X8 @ X9)))) | (((X2 @ X8)) != $true) | ($true != ((X2 @ X9)))) & ! [X11 : b,X12 : b] : ((((X2 @ X12)) != $true) | (((X2 @ (X7 @ X12 @ X11))) = $true) | (((X2 @ X11)) != $true)))),
% 0.21/0.31 inference(flattening,[],[f5])).
% 0.21/0.31 thf(f7,definition,(
% 0.21/0.31 ! [X1 : (g > $o),X5 : (g > g > g),X3 : (g > b),X4 : (b > a),X0 : (a > a > a)] : (? [X23 : g,X22 : g] : ((((X1 @ X23)) = $true) & (((X1 @ X22)) = $true) & (((X1 @ X22)) = $true) & (((X0 @ (X4 @ (X3 @ X23)) @ (X4 @ (X3 @ X22)))) != ((X4 @ (X3 @ (X5 @ X23 @ X22))))) & (((X1 @ X23)) = $true)) | ~ (((sP0 @ X0 @ X4 @ X3 @ X5 @ X1)) = $true))),
% 0.21/0.31 introduced(definition,[new_symbols(definition,[=])],[predicate_definition_introduction])).
% 0.21/0.31 thf(f8,definition,(
% 0.21/0.31 ! [X6 : (a > $o),X0 : (a > a > a)] : (? [X25 : a,X26 : a] : ((((X6 @ X26)) = $true) & (((X6 @ (X0 @ X25 @ X26))) != $true) & (((X6 @ X25)) = $true)) | ~ (((sP1 @ X0 @ X6)) = $true))),
% 0.21/0.31 introduced(definition,[new_symbols(definition,[=])],[predicate_definition_introduction])).
% 0.21/0.31 thf(f9,plain,(
% 0.21/0.31 ? [X7 : (b > b > b),X4 : (b > a),X6 : (a > $o),X2 : (b > $o),X1 : (g > $o),X3 : (g > b),X5 : (g > g > g),X0 : (a > a > a)] : (! [X19 : b] : ((((X2 @ X19)) != $true) | ($true = ((X6 @ (X4 @ X19))))) & ! [X20 : g,X21 : g] : ((((X1 @ X21)) != $true) | (((X1 @ (X5 @ X20 @ X21))) = $true) | (((X1 @ X20)) != $true)) & ! [X13 : g,X14 : g] : ((((X1 @ X14)) != $true) | (((X7 @ (X3 @ X13) @ (X3 @ X14))) = ((X3 @ (X5 @ X13 @ X14)))) | (((X1 @ X13)) != $true)) & ! [X17 : a,X18 : a] : ((((X6 @ X18)) != $true) | ($true != ((X6 @ X17))) | (((X6 @ (X0 @ X18 @ X17))) = $true)) & (? [X27 : g,X28 : g] : ((((X1 @ X27)) = $true) & ($true != ((X1 @ (X5 @ X27 @ X28)))) & (((X1 @ X28)) = $true)) | ? [X24 : g] : ((((X1 @ X24)) = $true) & (((X6 @ (X4 @ (X3 @ X24)))) != $true)) | (((sP1 @ X0 @ X6)) = $true) | (((sP0 @ X0 @ X4 @ X3 @ X5 @ X1)) = $true)) & ! [X15 : b,X16 : b] : ((((X2 @ (X7 @ X15 @ X16))) = $true) | (((X2 @ X15)) != $true) | (((X2 @ X16)) != $true)) & ! [X10 : g] : ((((X2 @ (X3 @ X10))) = $true) | (((X1 @ X10)) != $true)) & ! [X9 : b,X8 : b] : ((((X0 @ (X4 @ X8) @ (X4 @ X9))) = ((X4 @ (X7 @ X8 @ X9)))) | (((X2 @ X8)) != $true) | ($true != ((X2 @ X9)))) & ! [X11 : b,X12 : b] : ((((X2 @ X12)) != $true) | (((X2 @ (X7 @ X12 @ X11))) = $true) | (((X2 @ X11)) != $true)))),
% 0.21/0.31 inference(definition_folding,[],[f6,f8,f7])).
% 0.21/0.31 thf(f10,plain,(
% 0.21/0.31 ! [X6 : (a > $o),X0 : (a > a > a)] : (? [X25 : a,X26 : a] : ((((X6 @ X26)) = $true) & (((X6 @ (X0 @ X25 @ X26))) != $true) & (((X6 @ X25)) = $true)) | (((sP1 @ X0 @ X6)) != $true))),
% 0.21/0.31 inference(nnf_transformation,[],[f8])).
% 0.21/0.31 thf(f11,plain,(
% 0.21/0.31 ! [X0 : (a > $o),X1 : (a > a > a)] : (? [X2 : a,X3 : a] : ((((X0 @ X3)) = $true) & (((X0 @ (X1 @ X2 @ X3))) != $true) & (((X0 @ X2)) = $true)) | (((sP1 @ X1 @ X0)) != $true))),
% 0.21/0.31 inference(rectify,[],[f10])).
% 0.21/0.31 thf(f12,plain,(
% 0.21/0.31 ! [X0 : (a > $o),X1 : (a > a > a)] : (((((X0 @ (sK3 @ X1 @ X0))) = $true) & ($true != ((X0 @ (X1 @ (sK2 @ X1 @ X0) @ (sK3 @ X1 @ X0))))) & (((X0 @ (sK2 @ X1 @ X0))) = $true)) | (((sP1 @ X1 @ X0)) != $true))),
% 0.21/0.31 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP]),skolemize(X3,sK3 @ X1 @ X0),skolemize(X3,sK3 @ X1 @ X0)],[f11])).
% 0.21/0.31 thf(f13,plain,(
% 0.21/0.31 ! [X1 : (g > $o),X5 : (g > g > g),X3 : (g > b),X4 : (b > a),X0 : (a > a > a)] : (? [X23 : g,X22 : g] : ((((X1 @ X23)) = $true) & (((X1 @ X22)) = $true) & (((X1 @ X22)) = $true) & (((X0 @ (X4 @ (X3 @ X23)) @ (X4 @ (X3 @ X22)))) != ((X4 @ (X3 @ (X5 @ X23 @ X22))))) & (((X1 @ X23)) = $true)) | (((sP0 @ X0 @ X4 @ X3 @ X5 @ X1)) != $true))),
% 0.21/0.31 inference(nnf_transformation,[],[f7])).
% 0.21/0.31 thf(f14,plain,(
% 0.21/0.31 ! [X0 : (g > $o),X1 : (g > g > g),X2 : (g > b),X3 : (b > a),X4 : (a > a > a)] : (? [X5 : g,X6 : g] : (($true = ((X0 @ X5))) & (((X0 @ X6)) = $true) & (((X0 @ X6)) = $true) & (((X3 @ (X2 @ (X1 @ X5 @ X6)))) != ((X4 @ (X3 @ (X2 @ X5)) @ (X3 @ (X2 @ X6))))) & ($true = ((X0 @ X5)))) | (((sP0 @ X4 @ X3 @ X2 @ X1 @ X0)) != $true))),
% 0.21/0.31 inference(rectify,[],[f13])).
% 0.21/0.31 thf(f15,plain,(
% 0.21/0.31 ! [X0 : (g > $o),X1 : (g > g > g),X2 : (g > b),X3 : (b > a),X4 : (a > a > a)] : (((((X0 @ (sK4 @ X4 @ X3 @ X2 @ X1 @ X0))) = $true) & (((X0 @ (sK5 @ X4 @ X3 @ X2 @ X1 @ X0))) = $true) & (((X0 @ (sK5 @ X4 @ X3 @ X2 @ X1 @ X0))) = $true) & (((X4 @ (X3 @ (X2 @ (sK4 @ X4 @ X3 @ X2 @ X1 @ X0))) @ (X3 @ (X2 @ (sK5 @ X4 @ X3 @ X2 @ X1 @ X0))))) != ((X3 @ (X2 @ (X1 @ (sK4 @ X4 @ X3 @ X2 @ X1 @ X0) @ (sK5 @ X4 @ X3 @ X2 @ X1 @ X0)))))) & (((X0 @ (sK4 @ X4 @ X3 @ X2 @ X1 @ X0))) = $true)) | (((sP0 @ X4 @ X3 @ X2 @ X1 @ X0)) != $true))),
% 0.21/0.31 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP]),skolemize(X3,sK3 @ X1 @ X0),skolemize(X3,sK3 @ X1 @ X0)],[f14])).
% 0.21/0.31 thf(f16,plain,(
% 0.21/0.31 ? [X0 : (b > b > b),X1 : (b > a),X2 : (a > $o),X3 : (b > $o),X4 : (g > $o),X5 : (g > b),X6 : (g > g > g),X7 : (a > a > a)] : (! [X8 : b] : ((((X3 @ X8)) != $true) | ($true = ((X2 @ (X1 @ X8))))) & ! [X9 : g,X10 : g] : ((((X4 @ X10)) != $true) | ($true = ((X4 @ (X6 @ X9 @ X10)))) | (((X4 @ X9)) != $true)) & ! [X11 : g,X12 : g] : ((((X4 @ X12)) != $true) | (((X0 @ (X5 @ X11) @ (X5 @ X12))) = ((X5 @ (X6 @ X11 @ X12)))) | (((X4 @ X11)) != $true)) & ! [X13 : a,X14 : a] : ((((X2 @ X14)) != $true) | (((X2 @ X13)) != $true) | (((X2 @ (X7 @ X14 @ X13))) = $true)) & (? [X15 : g,X16 : g] : ((((X4 @ X15)) = $true) & (((X4 @ (X6 @ X15 @ X16))) != $true) & (((X4 @ X16)) = $true)) | ? [X17 : g] : (($true = ((X4 @ X17))) & ($true != ((X2 @ (X1 @ (X5 @ X17)))))) | ($true = ((sP1 @ X7 @ X2))) | (((sP0 @ X7 @ X1 @ X5 @ X6 @ X4)) = $true)) & ! [X18 : b,X19 : b] : ((((X3 @ (X0 @ X18 @ X19))) = $true) | ($true != ((X3 @ X18))) | (((X3 @ X19)) != $true)) & ! [X20 : g] : ((((X3 @ (X5 @ X20))) = $true) | ($true != ((X4 @ X20)))) & ! [X21 : b,X22 : b] : ((((X7 @ (X1 @ X22) @ (X1 @ X21))) = ((X1 @ (X0 @ X22 @ X21)))) | (((X3 @ X22)) != $true) | ($true != ((X3 @ X21)))) & ! [X23 : b,X24 : b] : (($true != ((X3 @ X24))) | ($true = ((X3 @ (X0 @ X24 @ X23)))) | (((X3 @ X23)) != $true)))),
% 0.21/0.31 inference(rectify,[],[f9])).
% 0.21/0.31 thf(f17,plain,(
% 0.21/0.31 ! [X8 : b] : (($true != ((sK9 @ X8))) | (((sK8 @ (sK7 @ X8))) = $true)) & ! [X9 : g,X10 : g] : ((((sK10 @ X10)) != $true) | (((sK10 @ (sK12 @ X9 @ X10))) = $true) | (((sK10 @ X9)) != $true)) & ! [X11 : g,X12 : g] : ((((sK10 @ X12)) != $true) | (((sK6 @ (sK11 @ X11) @ (sK11 @ X12))) = ((sK11 @ (sK12 @ X11 @ X12)))) | (((sK10 @ X11)) != $true)) & ! [X13 : a,X14 : a] : ((((sK8 @ X14)) != $true) | (((sK8 @ X13)) != $true) | ($true = ((sK8 @ (sK13 @ X14 @ X13))))) & (((((sK10 @ sK14)) = $true) & (((sK10 @ (sK12 @ sK14 @ sK15))) != $true) & ($true = ((sK10 @ sK15)))) | ((((sK10 @ sK16)) = $true) & (((sK8 @ (sK7 @ (sK11 @ sK16)))) != $true)) | (((sP1 @ sK13 @ sK8)) = $true) | (((sP0 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10)) = $true)) & ! [X18 : b,X19 : b] : (($true = ((sK9 @ (sK6 @ X18 @ X19)))) | (((sK9 @ X18)) != $true) | (((sK9 @ X19)) != $true)) & ! [X20 : g] : ((((sK9 @ (sK11 @ X20))) = $true) | ($true != ((sK10 @ X20)))) & ! [X21 : b,X22 : b] : ((((sK7 @ (sK6 @ X22 @ X21))) = ((sK13 @ (sK7 @ X22) @ (sK7 @ X21)))) | (((sK9 @ X22)) != $true) | (((sK9 @ X21)) != $true)) & ! [X23 : b,X24 : b] : ((((sK9 @ X24)) != $true) | ($true = ((sK9 @ (sK6 @ X24 @ X23)))) | (((sK9 @ X23)) != $true))),
% 0.21/0.31 inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16]),skolemize(X0,sK6),skolemize(X1,sK7),skolemize(X2,sK8),skolemize(X3,sK9),skolemize(X4,sK10),skolemize(X5,sK11),skolemize(X6,sK12),skolemize(X7,sK13),skolemize(X15,sK14),skolemize(X16,sK15),skolemize(X17,sK16)],[f16])).
% 0.21/0.31 thf(f18,plain,(
% 0.21/0.31 ( ! [X0 : (a > $o),X1 : (a > a > a)] : ((((X0 @ (sK2 @ X1 @ X0))) = $true) | (((sP1 @ X1 @ X0)) != $true)) )),
% 0.21/0.31 inference(cnf_transformation,[],[f12])).
% 0.21/0.31 thf(f19,plain,(
% 0.21/0.31 ( ! [X0 : (a > $o),X1 : (a > a > a)] : (($true != ((X0 @ (X1 @ (sK2 @ X1 @ X0) @ (sK3 @ X1 @ X0))))) | (((sP1 @ X1 @ X0)) != $true)) )),
% 0.21/0.31 inference(cnf_transformation,[],[f12])).
% 0.21/0.31 thf(f20,plain,(
% 0.21/0.31 ( ! [X0 : (a > $o),X1 : (a > a > a)] : ((((X0 @ (sK3 @ X1 @ X0))) = $true) | (((sP1 @ X1 @ X0)) != $true)) )),
% 0.21/0.31 inference(cnf_transformation,[],[f12])).
% 0.21/0.31 thf(f21,plain,(
% 0.21/0.31 ( ! [X2 : (g > b),X3 : (b > a),X0 : (g > $o),X1 : (g > g > g),X4 : (a > a > a)] : ((((X0 @ (sK4 @ X4 @ X3 @ X2 @ X1 @ X0))) = $true) | (((sP0 @ X4 @ X3 @ X2 @ X1 @ X0)) != $true)) )),
% 0.21/0.31 inference(cnf_transformation,[],[f15])).
% 0.21/0.31 thf(f22,plain,(
% 0.21/0.31 ( ! [X2 : (g > b),X3 : (b > a),X0 : (g > $o),X1 : (g > g > g),X4 : (a > a > a)] : ((((sP0 @ X4 @ X3 @ X2 @ X1 @ X0)) != $true) | (((X4 @ (X3 @ (X2 @ (sK4 @ X4 @ X3 @ X2 @ X1 @ X0))) @ (X3 @ (X2 @ (sK5 @ X4 @ X3 @ X2 @ X1 @ X0))))) != ((X3 @ (X2 @ (X1 @ (sK4 @ X4 @ X3 @ X2 @ X1 @ X0) @ (sK5 @ X4 @ X3 @ X2 @ X1 @ X0))))))) )),
% 0.21/0.31 inference(cnf_transformation,[],[f15])).
% 0.21/0.31 thf(f23,plain,(
% 0.21/0.31 ( ! [X2 : (g > b),X3 : (b > a),X0 : (g > $o),X1 : (g > g > g),X4 : (a > a > a)] : ((((X0 @ (sK5 @ X4 @ X3 @ X2 @ X1 @ X0))) = $true) | (((sP0 @ X4 @ X3 @ X2 @ X1 @ X0)) != $true)) )),
% 0.21/0.31 inference(cnf_transformation,[],[f15])).
% 0.21/0.31 thf(f27,plain,(
% 0.21/0.31 ( ! [X21 : b,X22 : b] : ((((sK7 @ (sK6 @ X22 @ X21))) = ((sK13 @ (sK7 @ X22) @ (sK7 @ X21)))) | (((sK9 @ X22)) != $true) | (((sK9 @ X21)) != $true)) )),
% 0.21/0.31 inference(cnf_transformation,[],[f17])).
% 0.21/0.31 thf(f28,plain,(
% 0.21/0.31 ( ! [X20 : g] : ((((sK9 @ (sK11 @ X20))) = $true) | ($true != ((sK10 @ X20)))) )),
% 0.21/0.31 inference(cnf_transformation,[],[f17])).
% 0.21/0.31 thf(f30,plain,(
% 0.21/0.31 (((sK8 @ (sK7 @ (sK11 @ sK16)))) != $true) | ($true = ((sK10 @ sK15))) | (((sP1 @ sK13 @ sK8)) = $true) | (((sP0 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10)) = $true)),
% 0.21/0.31 inference(cnf_transformation,[],[f17])).
% 0.21/0.31 thf(f31,plain,(
% 0.21/0.31 ($true = ((sK10 @ sK15))) | (((sP0 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10)) = $true) | (((sP1 @ sK13 @ sK8)) = $true) | (((sK10 @ sK16)) = $true)),
% 0.21/0.31 inference(cnf_transformation,[],[f17])).
% 0.21/0.31 thf(f32,plain,(
% 0.21/0.31 (((sK10 @ (sK12 @ sK14 @ sK15))) != $true) | (((sP0 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10)) = $true) | (((sP1 @ sK13 @ sK8)) = $true) | (((sK8 @ (sK7 @ (sK11 @ sK16)))) != $true)),
% 0.21/0.31 inference(cnf_transformation,[],[f17])).
% 0.21/0.31 thf(f33,plain,(
% 0.21/0.31 (((sP0 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10)) = $true) | (((sP1 @ sK13 @ sK8)) = $true) | (((sK10 @ sK16)) = $true) | (((sK10 @ (sK12 @ sK14 @ sK15))) != $true)),
% 0.21/0.31 inference(cnf_transformation,[],[f17])).
% 0.21/0.31 thf(f34,plain,(
% 0.21/0.31 (((sP0 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10)) = $true) | (((sP1 @ sK13 @ sK8)) = $true) | (((sK8 @ (sK7 @ (sK11 @ sK16)))) != $true) | (((sK10 @ sK14)) = $true)),
% 0.21/0.31 inference(cnf_transformation,[],[f17])).
% 0.21/0.31 thf(f35,plain,(
% 0.21/0.31 (((sK10 @ sK16)) = $true) | (((sK10 @ sK14)) = $true) | (((sP0 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10)) = $true) | (((sP1 @ sK13 @ sK8)) = $true)),
% 0.21/0.31 inference(cnf_transformation,[],[f17])).
% 0.21/0.31 thf(f36,plain,(
% 0.21/0.31 ( ! [X14 : a,X13 : a] : (($true = ((sK8 @ (sK13 @ X14 @ X13)))) | (((sK8 @ X14)) != $true) | (((sK8 @ X13)) != $true)) )),
% 0.21/0.31 inference(cnf_transformation,[],[f17])).
% 0.21/0.31 thf(f37,plain,(
% 0.21/0.31 ( ! [X11 : g,X12 : g] : ((((sK6 @ (sK11 @ X11) @ (sK11 @ X12))) = ((sK11 @ (sK12 @ X11 @ X12)))) | (((sK10 @ X12)) != $true) | (((sK10 @ X11)) != $true)) )),
% 0.21/0.31 inference(cnf_transformation,[],[f17])).
% 0.21/0.31 thf(f38,plain,(
% 0.21/0.31 ( ! [X10 : g,X9 : g] : ((((sK10 @ (sK12 @ X9 @ X10))) = $true) | (((sK10 @ X9)) != $true) | (((sK10 @ X10)) != $true)) )),
% 0.21/0.31 inference(cnf_transformation,[],[f17])).
% 0.21/0.31 thf(f39,plain,(
% 0.21/0.31 ( ! [X8 : b] : ((((sK8 @ (sK7 @ X8))) = $true) | ($true != ((sK9 @ X8)))) )),
% 0.21/0.31 inference(cnf_transformation,[],[f17])).
% 0.21/0.31 thf(f42,definition,(
% 0.21/0.31 spl17_1 <=> (((sK10 @ sK16)) = $true)),
% 0.21/0.31 introduced(definition,[new_symbols(definition,[spl17_1])],[avatar_definition])).
% 0.21/0.31 thf(f46,definition,(
% 0.21/0.31 spl17_2 <=> (((sP0 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10)) = $true)),
% 0.21/0.31 introduced(definition,[new_symbols(definition,[spl17_2])],[avatar_definition])).
% 0.21/0.31 thf(f48,plain,(
% 0.21/0.31 (((sP0 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10)) = $true) | ~spl17_2),
% 0.21/0.31 inference(avatar_component_clause,[],[f46])).
% 0.21/0.31 thf(f50,definition,(
% 0.21/0.31 spl17_3 <=> (((sK10 @ sK14)) = $true)),
% 0.21/0.31 introduced(definition,[new_symbols(definition,[spl17_3])],[avatar_definition])).
% 0.21/0.31 thf(f52,plain,(
% 0.21/0.31 (((sK10 @ sK14)) = $true) | ~spl17_3),
% 0.21/0.31 inference(avatar_component_clause,[],[f50])).
% 0.21/0.31 thf(f54,definition,(
% 0.21/0.31 spl17_4 <=> (((sP1 @ sK13 @ sK8)) = $true)),
% 0.21/0.31 introduced(definition,[new_symbols(definition,[spl17_4])],[avatar_definition])).
% 0.21/0.31 thf(f57,plain,(
% 0.21/0.31 spl17_1 | spl17_2 | spl17_3 | spl17_4),
% 0.21/0.31 inference(avatar_split_clause,[],[f35,f54,f50,f46,f42])).
% 0.21/0.31 thf(f59,definition,(
% 0.21/0.31 spl17_5 <=> ($true = ((sK10 @ sK15)))),
% 0.21/0.31 introduced(definition,[new_symbols(definition,[spl17_5])],[avatar_definition])).
% 0.21/0.31 thf(f61,plain,(
% 0.21/0.31 ($true = ((sK10 @ sK15))) | ~spl17_5),
% 0.21/0.31 inference(avatar_component_clause,[],[f59])).
% 0.21/0.31 thf(f62,plain,(
% 0.21/0.31 spl17_4 | spl17_2 | spl17_1 | spl17_5),
% 0.21/0.31 inference(avatar_split_clause,[],[f31,f59,f42,f46,f54])).
% 0.21/0.31 thf(f64,definition,(
% 0.21/0.31 spl17_6 <=> (((sK8 @ (sK7 @ (sK11 @ sK16)))) = $true)),
% 0.21/0.31 introduced(definition,[new_symbols(definition,[spl17_6])],[avatar_definition])).
% 0.21/0.31 thf(f66,plain,(
% 0.21/0.31 (((sK8 @ (sK7 @ (sK11 @ sK16)))) != $true) | spl17_6),
% 0.21/0.31 inference(avatar_component_clause,[],[f64])).
% 0.21/0.31 thf(f67,plain,(
% 0.21/0.31 spl17_2 | ~spl17_6 | spl17_4 | spl17_3),
% 0.21/0.31 inference(avatar_split_clause,[],[f34,f50,f54,f64,f46])).
% 0.21/0.31 thf(f68,plain,(
% 0.21/0.31 spl17_2 | ~spl17_6 | spl17_5 | spl17_4),
% 0.21/0.31 inference(avatar_split_clause,[],[f30,f54,f59,f64,f46])).
% 0.21/0.31 thf(f70,definition,(
% 0.21/0.31 spl17_7 <=> (((sK10 @ (sK12 @ sK14 @ sK15))) = $true)),
% 0.21/0.31 introduced(definition,[new_symbols(definition,[spl17_7])],[avatar_definition])).
% 0.21/0.31 thf(f72,plain,(
% 0.21/0.31 (((sK10 @ (sK12 @ sK14 @ sK15))) != $true) | spl17_7),
% 0.21/0.31 inference(avatar_component_clause,[],[f70])).
% 0.21/0.31 thf(f73,plain,(
% 0.21/0.31 spl17_1 | spl17_2 | spl17_4 | ~spl17_7),
% 0.21/0.31 inference(avatar_split_clause,[],[f33,f70,f54,f46,f42])).
% 0.21/0.31 thf(f74,plain,(
% 0.21/0.31 spl17_4 | spl17_2 | ~spl17_7 | ~spl17_6),
% 0.21/0.31 inference(avatar_split_clause,[],[f32,f64,f70,f46,f54])).
% 0.21/0.31 thf(f77,plain,(
% 0.21/0.31 ( ! [X2 : (a > $o),X1 : (a > a > a)] : (($true != (((^[Y0 : a]: (~ (X2 @ Y0))) @ (X1 @ (sK2 @ X1 @ (^[Y0 : a]: (~ (X2 @ Y0)))) @ (sK3 @ X1 @ (^[Y0 : a]: (~ (X2 @ Y0)))))))) | (((sP1 @ X1 @ (^[Y0 : a]: (~ (X2 @ Y0))))) != $true)) )),
% 0.21/0.31 inference(primitive_instantiation,[],[f19])).
% 0.21/0.31 thf(f80,plain,(
% 0.21/0.31 ( ! [X2 : (a > $o),X1 : (a > a > a)] : (($true != ((~ (X2 @ (X1 @ (sK2 @ X1 @ (^[Y0 : a]: (~ (X2 @ Y0)))) @ (sK3 @ X1 @ (^[Y0 : a]: (~ (X2 @ Y0))))))))) | (((sP1 @ X1 @ (^[Y0 : a]: (~ (X2 @ Y0))))) != $true)) )),
% 0.21/0.31 inference(beta-eta_normalization,[],[f77])).
% 0.21/0.31 thf(f81,plain,(
% 0.21/0.31 ( ! [X2 : (a > $o),X1 : (a > a > a)] : (($true = ((X2 @ (X1 @ (sK2 @ X1 @ (^[Y0 : a]: (~ (X2 @ Y0)))) @ (sK3 @ X1 @ (^[Y0 : a]: (~ (X2 @ Y0)))))))) | (((sP1 @ X1 @ (^[Y0 : a]: (~ (X2 @ Y0))))) != $true)) )),
% 0.21/0.31 inference(not_proxy_clausification,[],[f80])).
% 0.21/0.31 thf(f166,plain,(
% 0.21/0.31 ( ! [X3 : (a > $o),X1 : (a > a > a)] : (((((^[Y0 : a]: (~ (X3 @ Y0))) @ (X1 @ (sK2 @ X1 @ (^[Y0 : a]: (~ ((^[Y1 : a]: (~ (X3 @ Y1))) @ Y0)))) @ (sK3 @ X1 @ (^[Y0 : a]: (~ ((^[Y1 : a]: (~ (X3 @ Y1))) @ Y0))))))) = $true) | (((sP1 @ X1 @ (^[Y0 : a]: (~ ((^[Y1 : a]: (~ (X3 @ Y1))) @ Y0))))) != $true)) )),
% 0.21/0.31 inference(primitive_instantiation,[],[f81])).
% 0.21/0.31 thf(f171,plain,(
% 0.21/0.31 ( ! [X3 : (a > $o),X1 : (a > a > a)] : ((((~ (X3 @ (X1 @ (sK2 @ X1 @ (^[Y0 : a]: (~ (~ (X3 @ Y0))))) @ (sK3 @ X1 @ (^[Y0 : a]: (~ (~ (X3 @ Y0))))))))) = $true) | (((sP1 @ X1 @ (^[Y0 : a]: (~ (~ (X3 @ Y0)))))) != $true)) )),
% 0.21/0.31 inference(beta-eta_normalization,[],[f166])).
% 0.21/0.31 thf(f172,plain,(
% 0.21/0.31 ( ! [X3 : (a > $o),X1 : (a > a > a)] : (($false = ((X3 @ (X1 @ (sK2 @ X1 @ (^[Y0 : a]: (~ (~ (X3 @ Y0))))) @ (sK3 @ X1 @ (^[Y0 : a]: (~ (~ (X3 @ Y0))))))))) | (((sP1 @ X1 @ (^[Y0 : a]: (~ (~ (X3 @ Y0)))))) != $true)) )),
% 0.21/0.31 inference(not_proxy_clausification,[],[f171])).
% 0.21/0.31 thf(f173,plain,(
% 0.21/0.31 ( ! [X3 : (a > $o),X1 : (a > a > a)] : ((((X3 @ (X1 @ (sK2 @ X1 @ (^[Y0 : a]: (X3 @ Y0))) @ (sK3 @ X1 @ (^[Y0 : a]: (X3 @ Y0)))))) = $false) | (((sP1 @ X1 @ (^[Y0 : a]: (~ (~ (X3 @ Y0)))))) != $true)) )),
% 0.21/0.31 inference(boolean_simplification,[],[f172])).
% 0.21/0.31 thf(f174,plain,(
% 0.21/0.31 ( ! [X3 : (a > $o),X1 : (a > a > a)] : ((((sP1 @ X1 @ (^[Y0 : a]: (~ (~ (X3 @ Y0)))))) != $true) | (((X3 @ (X1 @ (sK2 @ X1 @ X3) @ (sK3 @ X1 @ X3)))) = $false)) )),
% 0.21/0.31 inference(beta-eta_normalization,[],[f173])).
% 0.21/0.31 thf(f175,plain,(
% 0.21/0.31 ( ! [X3 : (a > $o),X1 : (a > a > a)] : ((((X3 @ (X1 @ (sK2 @ X1 @ X3) @ (sK3 @ X1 @ X3)))) = $false) | (((sP1 @ X1 @ (^[Y0 : a]: (X3 @ Y0)))) != $true)) )),
% 0.21/0.31 inference(boolean_simplification,[],[f174])).
% 0.21/0.31 thf(f176,plain,(
% 0.21/0.31 ( ! [X3 : (a > $o),X1 : (a > a > a)] : ((((X3 @ (X1 @ (sK2 @ X1 @ X3) @ (sK3 @ X1 @ X3)))) = $false) | (((sP1 @ X1 @ X3)) != $true)) )),
% 0.21/0.31 inference(beta-eta_normalization,[],[f175])).
% 0.21/0.31 thf(f208,plain,(
% 0.21/0.31 (((sP1 @ sK13 @ sK8)) != $true) | (((sK8 @ (sK2 @ sK13 @ sK8))) != $true) | ($false = $true) | (((sK8 @ (sK3 @ sK13 @ sK8))) != $true)),
% 0.21/0.31 inference(superposition,[],[f36,f176])).
% 0.21/0.31 thf(f211,plain,(
% 0.21/0.31 (((sK8 @ (sK3 @ sK13 @ sK8))) != $true) | (((sK8 @ (sK2 @ sK13 @ sK8))) != $true) | (((sP1 @ sK13 @ sK8)) != $true)),
% 0.21/0.31 inference(trivial_inequality_removal,[],[f208])).
% 0.21/0.31 thf(f217,plain,(
% 0.21/0.31 (((sP1 @ sK13 @ sK8)) != $true) | (((sK8 @ (sK2 @ sK13 @ sK8))) != $true)),
% 0.21/0.31 inference(forward_subsumption_resolution,[],[f211,f20])).
% 0.21/0.31 thf(f219,plain,(
% 0.21/0.31 (((sP1 @ sK13 @ sK8)) != $true)),
% 0.21/0.31 inference(forward_subsumption_resolution,[],[f217,f18])).
% 0.21/0.31 thf(f221,plain,(
% 0.21/0.31 ~spl17_4),
% 0.21/0.31 inference(avatar_split_clause,[],[f219,f54])).
% 0.21/0.31 thf(f222,plain,(
% 0.21/0.31 (((sK13 @ (sK7 @ (sK11 @ (sK4 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10))) @ (sK7 @ (sK11 @ (sK5 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10))))) != ((sK7 @ (sK11 @ (sK12 @ (sK4 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10) @ (sK5 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10)))))) | ($true != $true) | ~spl17_2),
% 0.21/0.31 inference(superposition,[],[f22,f48])).
% 0.21/0.31 thf(f223,plain,(
% 0.21/0.31 (((sK13 @ (sK7 @ (sK11 @ (sK4 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10))) @ (sK7 @ (sK11 @ (sK5 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10))))) != ((sK7 @ (sK11 @ (sK12 @ (sK4 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10) @ (sK5 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10)))))) | ~spl17_2),
% 0.21/0.31 inference(trivial_inequality_removal,[],[f222])).
% 0.21/0.31 thf(f225,definition,(
% 0.21/0.31 spl17_10 <=> (((sK13 @ (sK7 @ (sK11 @ (sK4 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10))) @ (sK7 @ (sK11 @ (sK5 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10))))) = ((sK7 @ (sK11 @ (sK12 @ (sK4 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10) @ (sK5 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10))))))),
% 0.21/0.31 introduced(definition,[new_symbols(definition,[spl17_10])],[avatar_definition])).
% 0.21/0.31 thf(f227,plain,(
% 0.21/0.31 (((sK13 @ (sK7 @ (sK11 @ (sK4 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10))) @ (sK7 @ (sK11 @ (sK5 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10))))) != ((sK7 @ (sK11 @ (sK12 @ (sK4 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10) @ (sK5 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10)))))) | spl17_10),
% 0.21/0.31 inference(avatar_component_clause,[],[f225])).
% 0.21/0.31 thf(f228,plain,(
% 0.21/0.31 ~spl17_10 | ~spl17_2),
% 0.21/0.31 inference(avatar_split_clause,[],[f223,f46,f225])).
% 0.21/0.31 thf(f229,plain,(
% 0.21/0.31 (((sK9 @ (sK11 @ (sK4 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10)))) != $true) | ($true != ((sK9 @ (sK11 @ (sK5 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10))))) | (((sK7 @ (sK11 @ (sK12 @ (sK4 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10) @ (sK5 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10))))) != ((sK7 @ (sK6 @ (sK11 @ (sK4 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10)) @ (sK11 @ (sK5 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10)))))) | spl17_10),
% 0.21/0.31 inference(superposition,[],[f227,f27])).
% 0.21/0.31 thf(f231,definition,(
% 0.21/0.31 spl17_11 <=> (((sK9 @ (sK11 @ (sK4 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10)))) = $true)),
% 0.21/0.31 introduced(definition,[new_symbols(definition,[spl17_11])],[avatar_definition])).
% 0.21/0.31 thf(f233,plain,(
% 0.21/0.31 (((sK9 @ (sK11 @ (sK4 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10)))) != $true) | spl17_11),
% 0.21/0.31 inference(avatar_component_clause,[],[f231])).
% 0.21/0.31 thf(f235,definition,(
% 0.21/0.31 spl17_12 <=> ($true = ((sK9 @ (sK11 @ (sK5 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10)))))),
% 0.21/0.31 introduced(definition,[new_symbols(definition,[spl17_12])],[avatar_definition])).
% 0.21/0.31 thf(f237,plain,(
% 0.21/0.31 ($true != ((sK9 @ (sK11 @ (sK5 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10))))) | spl17_12),
% 0.21/0.31 inference(avatar_component_clause,[],[f235])).
% 0.21/0.31 thf(f239,definition,(
% 0.21/0.31 spl17_13 <=> (((sK7 @ (sK11 @ (sK12 @ (sK4 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10) @ (sK5 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10))))) = ((sK7 @ (sK6 @ (sK11 @ (sK4 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10)) @ (sK11 @ (sK5 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10))))))),
% 0.21/0.31 introduced(definition,[new_symbols(definition,[spl17_13])],[avatar_definition])).
% 0.21/0.31 thf(f241,plain,(
% 0.21/0.31 (((sK7 @ (sK11 @ (sK12 @ (sK4 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10) @ (sK5 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10))))) != ((sK7 @ (sK6 @ (sK11 @ (sK4 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10)) @ (sK11 @ (sK5 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10)))))) | spl17_13),
% 0.21/0.31 inference(avatar_component_clause,[],[f239])).
% 0.21/0.31 thf(f242,plain,(
% 0.21/0.31 ~spl17_11 | ~spl17_12 | ~spl17_13 | spl17_10),
% 0.21/0.31 inference(avatar_split_clause,[],[f229,f225,f239,f235,f231])).
% 0.21/0.31 thf(f243,plain,(
% 0.21/0.31 (((sK10 @ (sK4 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10))) != $true) | ($true != $true) | spl17_11),
% 0.21/0.31 inference(superposition,[],[f233,f28])).
% 0.21/0.31 thf(f244,plain,(
% 0.21/0.31 (((sK10 @ (sK4 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10))) != $true) | spl17_11),
% 0.21/0.31 inference(trivial_inequality_removal,[],[f243])).
% 0.21/0.31 thf(f246,definition,(
% 0.21/0.31 spl17_14 <=> (((sK10 @ (sK4 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10))) = $true)),
% 0.21/0.31 introduced(definition,[new_symbols(definition,[spl17_14])],[avatar_definition])).
% 0.21/0.31 thf(f247,plain,(
% 0.21/0.31 (((sK10 @ (sK4 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10))) = $true) | ~spl17_14),
% 0.21/0.31 inference(avatar_component_clause,[],[f246])).
% 0.21/0.31 thf(f248,plain,(
% 0.21/0.31 (((sK10 @ (sK4 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10))) != $true) | spl17_14),
% 0.21/0.31 inference(avatar_component_clause,[],[f246])).
% 0.21/0.31 thf(f249,plain,(
% 0.21/0.31 ~spl17_14 | spl17_11),
% 0.21/0.31 inference(avatar_split_clause,[],[f244,f231,f246])).
% 0.21/0.31 thf(f250,plain,(
% 0.21/0.31 ($true != $true) | (((sP0 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10)) != $true) | spl17_14),
% 0.21/0.31 inference(superposition,[],[f248,f21])).
% 0.21/0.31 thf(f251,plain,(
% 0.21/0.31 (((sP0 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10)) != $true) | spl17_14),
% 0.21/0.31 inference(trivial_inequality_removal,[],[f250])).
% 0.21/0.31 thf(f254,plain,(
% 0.21/0.31 ~spl17_2 | spl17_14),
% 0.21/0.31 inference(avatar_split_clause,[],[f251,f246,f46])).
% 0.21/0.31 thf(f255,plain,(
% 0.21/0.31 ($true != $true) | (((sK9 @ (sK11 @ sK16))) != $true) | spl17_6),
% 0.21/0.31 inference(superposition,[],[f66,f39])).
% 0.21/0.31 thf(f256,plain,(
% 0.21/0.31 (((sK9 @ (sK11 @ sK16))) != $true) | spl17_6),
% 0.21/0.31 inference(trivial_inequality_removal,[],[f255])).
% 0.21/0.31 thf(f258,definition,(
% 0.21/0.31 spl17_15 <=> (((sK9 @ (sK11 @ sK16))) = $true)),
% 0.21/0.31 introduced(definition,[new_symbols(definition,[spl17_15])],[avatar_definition])).
% 0.21/0.31 thf(f260,plain,(
% 0.21/0.31 (((sK9 @ (sK11 @ sK16))) != $true) | spl17_15),
% 0.21/0.31 inference(avatar_component_clause,[],[f258])).
% 0.21/0.31 thf(f261,plain,(
% 0.21/0.31 ~spl17_15 | spl17_6),
% 0.21/0.31 inference(avatar_split_clause,[],[f256,f64,f258])).
% 0.21/0.31 thf(f262,plain,(
% 0.21/0.31 ($true != $true) | (((sK10 @ sK16)) != $true) | spl17_15),
% 0.21/0.31 inference(superposition,[],[f260,f28])).
% 0.21/0.31 thf(f263,plain,(
% 0.21/0.31 (((sK10 @ sK16)) != $true) | spl17_15),
% 0.21/0.31 inference(trivial_inequality_removal,[],[f262])).
% 0.21/0.31 thf(f266,plain,(
% 0.21/0.31 ~spl17_1 | spl17_15),
% 0.21/0.31 inference(avatar_split_clause,[],[f263,f258,f42])).
% 0.21/0.31 thf(f269,plain,(
% 0.21/0.31 (((sK10 @ (sK5 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10))) != $true) | ($true != $true) | spl17_12),
% 0.21/0.31 inference(superposition,[],[f237,f28])).
% 0.21/0.31 thf(f270,plain,(
% 0.21/0.31 (((sK10 @ (sK5 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10))) != $true) | spl17_12),
% 0.21/0.31 inference(trivial_inequality_removal,[],[f269])).
% 0.21/0.31 thf(f272,definition,(
% 0.21/0.31 spl17_16 <=> (((sK10 @ (sK5 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10))) = $true)),
% 0.21/0.31 introduced(definition,[new_symbols(definition,[spl17_16])],[avatar_definition])).
% 0.21/0.31 thf(f273,plain,(
% 0.21/0.31 (((sK10 @ (sK5 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10))) = $true) | ~spl17_16),
% 0.21/0.31 inference(avatar_component_clause,[],[f272])).
% 0.21/0.31 thf(f274,plain,(
% 0.21/0.31 (((sK10 @ (sK5 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10))) != $true) | spl17_16),
% 0.21/0.31 inference(avatar_component_clause,[],[f272])).
% 0.21/0.31 thf(f275,plain,(
% 0.21/0.31 ~spl17_16 | spl17_12),
% 0.21/0.31 inference(avatar_split_clause,[],[f270,f235,f272])).
% 0.21/0.31 thf(f276,plain,(
% 0.21/0.31 ($true != $true) | (((sP0 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10)) != $true) | spl17_16),
% 0.21/0.31 inference(superposition,[],[f274,f23])).
% 0.21/0.31 thf(f277,plain,(
% 0.21/0.31 (((sP0 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10)) != $true) | spl17_16),
% 0.21/0.31 inference(trivial_inequality_removal,[],[f276])).
% 0.21/0.31 thf(f278,plain,(
% 0.21/0.31 $false | (~spl17_2 | spl17_16)),
% 0.21/0.31 inference(forward_subsumption_resolution,[],[f277,f48])).
% 0.21/0.31 thf(f279,plain,(
% 0.21/0.31 ~spl17_2 | spl17_16),
% 0.21/0.31 inference(avatar_contradiction_clause,[],[f278])).
% 0.21/0.31 thf(f280,plain,(
% 0.21/0.31 (((sK10 @ (sK5 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10))) != $true) | (((sK10 @ (sK4 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10))) != $true) | (((sK7 @ (sK11 @ (sK12 @ (sK4 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10) @ (sK5 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10))))) != ((sK7 @ (sK11 @ (sK12 @ (sK4 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10) @ (sK5 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10)))))) | spl17_13),
% 0.21/0.31 inference(superposition,[],[f241,f37])).
% 0.21/0.31 thf(f281,plain,(
% 0.21/0.31 (((sK10 @ (sK5 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10))) != $true) | (((sK10 @ (sK4 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10))) != $true) | spl17_13),
% 0.21/0.31 inference(trivial_inequality_removal,[],[f280])).
% 0.21/0.31 thf(f282,plain,(
% 0.21/0.31 (((sK10 @ (sK4 @ sK13 @ sK7 @ sK11 @ sK12 @ sK10))) != $true) | (spl17_13 | ~spl17_16)),
% 0.21/0.31 inference(forward_subsumption_resolution,[],[f281,f273])).
% 0.21/0.31 thf(f283,plain,(
% 0.21/0.31 $false | (spl17_13 | ~spl17_14 | ~spl17_16)),
% 0.21/0.31 inference(forward_subsumption_resolution,[],[f282,f247])).
% 0.21/0.31 thf(f284,plain,(
% 0.21/0.31 spl17_13 | ~spl17_14 | ~spl17_16),
% 0.21/0.31 inference(avatar_contradiction_clause,[],[f283])).
% 0.21/0.31 thf(f326,plain,(
% 0.21/0.31 (((sK10 @ sK14)) != $true) | ($true != $true) | ($true != ((sK10 @ sK15))) | spl17_7),
% 0.21/0.31 inference(superposition,[],[f72,f38])).
% 0.21/0.31 thf(f327,plain,(
% 0.21/0.31 (((sK10 @ sK14)) != $true) | ($true != ((sK10 @ sK15))) | spl17_7),
% 0.21/0.31 inference(trivial_inequality_removal,[],[f326])).
% 0.21/0.31 thf(f328,plain,(
% 0.21/0.31 ($true != ((sK10 @ sK15))) | (~spl17_3 | spl17_7)),
% 0.21/0.31 inference(forward_subsumption_resolution,[],[f327,f52])).
% 0.21/0.31 thf(f329,plain,(
% 0.21/0.31 $false | (~spl17_3 | ~spl17_5 | spl17_7)),
% 0.21/0.31 inference(forward_subsumption_resolution,[],[f328,f61])).
% 0.21/0.31 thf(f330,plain,(
% 0.21/0.31 ~spl17_3 | ~spl17_5 | spl17_7),
% 0.21/0.31 inference(avatar_contradiction_clause,[],[f329])).
% 0.21/0.31 cnf(s1, plain, spl17_1 | spl17_2 | spl17_3 | spl17_4, inference(sat_conversion,[],[f57])).
% 0.21/0.31 cnf(s2, plain, spl17_1 | spl17_2 | spl17_4 | spl17_5, inference(sat_conversion,[],[f62])).
% 0.21/0.31 cnf(s3, plain, spl17_2 | spl17_3 | spl17_4 | ~spl17_6, inference(sat_conversion,[],[f67])).
% 0.21/0.31 cnf(s4, plain, spl17_2 | spl17_4 | spl17_5 | ~spl17_6, inference(sat_conversion,[],[f68])).
% 0.21/0.31 cnf(s5, plain, spl17_1 | spl17_2 | spl17_4 | ~spl17_7, inference(sat_conversion,[],[f73])).
% 0.21/0.31 cnf(s6, plain, spl17_2 | spl17_4 | ~spl17_6 | ~spl17_7, inference(sat_conversion,[],[f74])).
% 0.21/0.31 cnf(s8, plain, ~spl17_4, inference(sat_conversion,[],[f221])).
% 0.21/0.31 cnf(s10, plain, ~spl17_2 | ~spl17_10, inference(sat_conversion,[],[f228])).
% 0.21/0.31 cnf(s11, plain, spl17_10 | ~spl17_11 | ~spl17_12 | ~spl17_13, inference(sat_conversion,[],[f242])).
% 0.21/0.31 cnf(s12, plain, spl17_11 | ~spl17_14, inference(sat_conversion,[],[f249])).
% 0.21/0.31 cnf(s14, plain, ~spl17_2 | spl17_14, inference(sat_conversion,[],[f254])).
% 0.21/0.31 cnf(s15, plain, spl17_6 | ~spl17_15, inference(sat_conversion,[],[f261])).
% 0.21/0.31 cnf(s17, plain, ~spl17_1 | spl17_15, inference(sat_conversion,[],[f266])).
% 0.21/0.31 cnf(s18, plain, spl17_12 | ~spl17_16, inference(sat_conversion,[],[f275])).
% 0.21/0.31 cnf(s19, plain, ~spl17_2 | spl17_16, inference(sat_conversion,[],[f279])).
% 0.21/0.31 cnf(s20, plain, spl17_13 | ~spl17_14 | ~spl17_16, inference(sat_conversion,[],[f284])).
% 0.21/0.31 cnf(s28, plain, ~spl17_3 | ~spl17_5 | spl17_7, inference(sat_conversion,[],[f330])).
% 0.21/0.31 cnf(s29, plain, spl17_2 | ~spl17_6 | ~spl17_7, inference(rat,[],[s6,s8])).
% 0.21/0.31 cnf(s30, plain, spl17_1 | spl17_2 | ~spl17_7, inference(rat,[],[s5,s8])).
% 0.21/0.31 cnf(s31, plain, spl17_2 | spl17_5 | ~spl17_6, inference(rat,[],[s4,s8])).
% 0.21/0.31 cnf(s32, plain, spl17_2 | spl17_3 | ~spl17_6, inference(rat,[],[s3,s8])).
% 0.21/0.31 cnf(s33, plain, spl17_1 | spl17_2 | spl17_5, inference(rat,[],[s2,s8])).
% 0.21/0.31 cnf(s34, plain, spl17_1 | spl17_2 | spl17_3, inference(rat,[],[s1,s8])).
% 0.21/0.31 cnf(s35, plain, spl17_2 | spl17_1, inference(rat,[],[s28,s33,s30,s34])).
% 0.21/0.31 cnf(s36, plain, ~spl17_2, inference(rat,[],[s11,s12,s20,s18,s10,s14,s19])).
% 0.21/0.31 cnf(s37, plain, spl17_1, inference(rat,[],[s35,s36])).
% 0.21/0.31 cnf(s38, plain, spl17_15, inference(rat,[],[s17,s37])).
% 0.21/0.31 cnf(s39, plain, spl17_6, inference(rat,[],[s15,s38])).
% 0.21/0.31 cnf(s40, plain, ~spl17_7, inference(rat,[],[s29,s36,s39])).
% 0.21/0.31 cnf(s41, plain, spl17_3, inference(rat,[],[s32,s36,s39])).
% 0.21/0.31 cnf(s42, plain, spl17_5, inference(rat,[],[s31,s36,s39])).
% 0.21/0.31 cnf(s43, plain, $false, inference(rat,[],[s28,s40,s42,s41])).
% 0.21/0.31 thf(f331,plain,(
% 0.21/0.31 $false),
% 0.21/0.31 inference(avatar_sat_refutation,[],[s43])).
% 0.21/0.31 % SZS output end Proof for theBenchmark
% 0.21/0.31 % (1482714)------------------------------
% 0.21/0.31 % (1482714)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.31 % (1482714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.31 % (1482714)CaDiCaL version: 2.1.3
% 0.21/0.31 % (1482714)Termination reason: Refutation
% 0.21/0.31 % (1482714)Time elapsed: 0.026 s
% 0.21/0.31 % (1482714)Peak memory usage: 13 MB
% 0.21/0.31 % (1482714)Instructions burned: 45 (million)
% 0.21/0.31 % (1482706)Success in time 0.069 s
% 0.21/0.31 % Vampire exiting
%------------------------------------------------------------------------------